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Finding the Fourth Proportional to 270,397.89, 405,565.83 and 70,737.57

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Solution

The fourth proportional to 270,397.89, 405,565.83 and 70,737.57 is: 106,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,397.89 : 405,565.83 = 70,737.57 : x
  2. Step 2: Convert to fraction form
    270,397.89/405,565.83 = 70,737.57/x
  3. Step 3: Cross multiply
    270,397.89x = 405,565.83 × 70,737.57
  4. Step 4: Simplify right side
    270,397.89x = 28,688,741,289.23
  5. Step 5: Solve for x
    x = 28,688,741,289.23/270,397.89
  6. Step 6: Final answer
    x = 106,098.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.